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Lingua: Inglese
Editore: Springer Berlin Heidelberg, 2007
ISBN 10: 3540735097 ISBN 13: 9783540735090
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Lingua: Inglese
Editore: Springer, Berlin, Springer, 2007
ISBN 10: 3540735097 ISBN 13: 9783540735090
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Aggiungi al carrelloTaschenbuch. Condizione: Neu. Druck auf Anfrage Neuware - Printed after ordering - Eigenvectors of graph Laplacians have not, to date, been the subject of expository articles and thus they may seem a surprising topic for a book. The authors propose two motivations for this new LNM volume: (1) There are fascinating subtle differences between the properties of solutions of Schrödinger equations on manifolds on the one hand, and their discrete analogs on graphs. (2) 'Geometric' properties of (cost) functions defined on the vertex sets of graphs are of practical interest for heuristic optimization algorithms. The observation that the cost functions of quite a few of the well-studied combinatorial optimization problems are eigenvectors of associated graph Laplacians has prompted the investigation of such eigenvectors.The volume investigates the structure of eigenvectors and looks at the number of their sign graphs ('nodal domains'), Perron components, graphs with extremal properties with respect to eigenvectors. The Rayleigh quotient and rearrangement of graphs form the main methodology.
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Aggiungi al carrelloTaschenbuch. Condizione: Neu. Laplacian Eigenvectors of Graphs | Perron-Frobenius and Faber-Krahn Type Theorems | Türker Biyikoglu (u. a.) | Taschenbuch | viii | Englisch | 2007 | Springer | EAN 9783540735090 | Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu.
Lingua: Inglese
Editore: Springer, Berlin, Springer Berlin Heidelberg, Springer Jul 2007, 2007
ISBN 10: 3540735097 ISBN 13: 9783540735090
Da: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Germania
EUR 42,79
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Aggiungi al carrelloTaschenbuch. Condizione: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -Eigenvectors of graph Laplacians have not, to date, been the subject of expository articles and thus they may seem a surprising topic for a book. The authors propose two motivations for this new LNM volume: (1) There are fascinating subtle differences between the properties of solutions of Schrödinger equations on manifolds on the one hand, and their discrete analogs on graphs. (2) 'Geometric' properties of (cost) functions defined on the vertex sets of graphs are of practical interest for heuristic optimization algorithms. The observation that the cost functions of quite a few of the well-studied combinatorial optimization problems are eigenvectors of associated graph Laplacians has prompted the investigation of such eigenvectors.The volume investigates the structure of eigenvectors and looks at the number of their sign graphs ('nodal domains'), Perron components, graphs with extremal properties with respect to eigenvectors. The Rayleigh quotient and rearrangement of graphs form the main methodology. 120 pp. Englisch.